Evaluate the Expression Without Using a Calculator $\log _ { 6 } 864 - \log _ { 6 } 4$

question 93

Multiple Choice

Evaluate the expression without using a calculator. $\log _ { 6 } 864 - \log _ { 6 } 4$

• A) \(216\)
• B) \(432\)
• C) \(3\)
• D) \(16\)
• E) \(860\)

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Definitions:

Hypothetical Syllogism

A logical argument consisting of two conditional statements and a conclusion, based on the assumption that if the premises are true, the conclusion must follow.

Modus Tollens

A logical argument principle that infers the negation of an antecedent from the negation of its consequent in a conditional statement.

Antecedent

An element in grammar that a pronoun or another word refers back to; in logic, the condition in a conditional statement that if true, leads to the consequent.

Standard Form

A structured format for presenting arguments or equations in a universally understood manner.